Allison is 5 ft tall. one afternoon her shadow measured 2.5 ft. at the same time, the shadow of her favorite tree was 14.5 ft. what is the height of the tree?

At the same time, the sun casts a shadow on the girl and tree creating two similar right triangles. You can use a ratio of girl's height to her shadow will be the same as the tree's height to it's shadow.

5 / 2.5 = T / 14.5
2 = T / 14.5
2 * 14.5 = T
29 ft = Tree